What is an antisymmetric relation?

What is an antisymmetric relation?

Answer: B. A relation where if a is related to b and b is related to a, then a must equal bA relation R on a set A is said to be antisymmetric if for every pair (a, b) and (b, a) in R, a must equal b.

  1. A.

    A relation where if a is related to b, then b is not related to a

  2. B.

    A relation where if a is related to b and b is related to a, then a must equal b

  3. C.

    A relation where every element is related to itself

  4. D.

    A relation where every element is related to every other element

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Correct answer: B

A relation R on a set A is said to be antisymmetric if for every pair (a, b) and (b, a) in R, a must equal b.

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